Schrödinger Equation as a Self-Consistent Field


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It is well known that the Schrödinger equation can be reduced to the Hamilton–Jacobi equation in Bohmian mechanics. Corresponding new equations of the Vlasov and Lamb types are derived, and their stationary solutions are investigated.

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V. Vedenyapin

Keldysh Institute of Applied Mathematics; RUDN University

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Email: vicveden@yahoo.com
俄罗斯联邦, Moscow, 125047; Moscow, 117198

T. Kazakova

Moscow Institute of Physics and Technology (State University)

Email: vicveden@yahoo.com
俄罗斯联邦, Dolgoprudnyi, Moscow oblast, 141700

V. Kisselevskaya-Babinina

Moscow Institute of Physics and Technology (State University)

Email: vicveden@yahoo.com
俄罗斯联邦, Dolgoprudnyi, Moscow oblast, 141700

B. Chetverushkin

Keldysh Institute of Applied Mathematics

Email: vicveden@yahoo.com
俄罗斯联邦, Moscow, 125047

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